Determine whether the given series converges or diverges. $\sum_{n=1}^{\infty} \frac{1}{n^{2} \sqrt{n}}$

Determine whether the series converges or diverges. summation from n=1 to infinity (1/n^2+1)^1/2

¿Como _________________________ nosotras? ___________________________________________________________________________.

Evaluate the integral.

$$\int \sin ^{3} x \cos ^{3} x d x$$

Multiply. $(4+7 g)(5-8 g)$ _____.

Virtualization soft ware is being aggressively deployed to reduce the costs of managing today’s high performance servers. Companies like VMWare, Microsoft and IBM have all developed a range of virtualization products. The general concept, described is that a hypervisor layer can be introduced between the hardware and the operating system to allow multiple operating systems to share the same physical hardware. The hypervisor layer is then responsible for allocating CPU and memory resources, as well as handling services typically handled by the operating system (e.g., I/O). Virtualization provides an abstract view of the underlying hardware to the hosted operating system and application soft ware. This will require us to rethink how multi-core and multiprocessor systems will be designed in the future to support the sharing of CPUs and memories by a number of operating systems concurrently. 1. Select two hypervisors on the market today, and compare and contrast how they virtualize and manage the underlying hardware (CPUs and memory). 2. Discuss what changes may be necessary in future multi-core CPU platforms in order to better match the resource demands placed on these systems. For instance, can multithreading play an effective role in alleviating the competition for computing resources?

Given $f(x)=\sqrt{1-x}$ and $g(x)=x^{2}$, find: the domain and range of $(f \circ g)(x)$

For any positive integer n, show that $2>1+\frac{1}{2}+\dots+\frac{1}{2^{n}}, \frac{3}{2}>1+\frac{1}{3}+\dots+\frac{1}{3^{n}}$ and $\frac{5}{4}>1+\frac{1}{5}+\dots+\frac{1}{5^{n}}$. Use these facts to show that $2 \cdot \frac{3}{2} \cdot \frac{5}{4} \cdot \cdots \cdot \frac{p}{p-1}>1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$ where p is the largest prime that is less than n. Conclude that there are an infinite number of primes.

Identify the vertex of each parabola. $f(x)=(x-3)^{2}+7$

Solve each equation using addition or subtraction. Check your answer.

$$23 = v + 5$$

Explain how hormones can be grouped on the basis of their chemical composition.

In "The Sun," what does the speaker regard as the most wonderful thing in life?

Describe the relationship between the values of the independent and dependent variables.

Relate to cylindrical coordinates defined by $x=r \cos \theta, y=r \sin \theta$ and z=z. Sketch the (two-dimensional) graph of $f(t)=e^{-t^{2}}$ for $t \geq 0$. Sketch the surface $z=e^{-x^{2}-y^{2}}$ and compare it to the graph of f(t). Show that parametric equations of the surface are x=u cos v, y=u sin v and $z=e^{-u^{2}}$.